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Finding the Fourth Proportional to 1,710.69, 2,568.75 and 1,432.74

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Solution

The fourth proportional to 1,710.69, 2,568.75 and 1,432.74 is: 2,151.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,710.69 : 2,568.75 = 1,432.74 : x
  2. Step 2: Convert to fraction form
    1,710.69/2,568.75 = 1,432.74/x
  3. Step 3: Cross multiply
    1,710.69x = 2,568.75 × 1,432.74
  4. Step 4: Simplify right side
    1,710.69x = 3,680,350.88
  5. Step 5: Solve for x
    x = 3,680,350.88/1,710.69
  6. Step 6: Final answer
    x = 2,151.38

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.